Question

Plot the image of point C under a dilation about the origin (0,0) with a scale factor of 1/2

Answer 1

Answer:

See Attachment for graph

Step-by-step explanation:

Given

Point C

Required

Plot C when dilated by 1/2

First, we have to determine the coordinates of point C

From the attached graph;

$C = (0,6)$

Next, is to determine the new point when dilated;

This is calculated as thus;

$New\ Point = Old\ Point * Scale\ Factor$

$C' = (0,6) * \frac{1}{2}$

Expand the bracket

$C' = (0 * \frac{1}{2}, 6* \frac{1}{2})$

$C' = (0, \frac{6}{2})$

$C' = (0, 3)$

This implies that C' will be plotted at x =0 and y = 3

(See attached for point C')